If t is in years, and t = 0 is January 1, 2005, worldwide energy consumption, r, in quadrillion (1015) BTUs per year, is modeled by r = 462-0.019t (a) Write a definite integral for the total energy use between the start of 2005 and the start of 2017. Total energy used = dt quadrillion BTUs (b) Use the Fundamental Theorem of Calculus to evaluate the integral. NOTE: Round your answer to the nearest integer. Total energy used quadrillion BTUs